A Note on Strongly Dense Matrices
Result description
In this note, strongly dense matrices are defined and some basic properties of these matrices are obtained. In particular, it is shown that for nonnegative and Boolean matrices, the product of conformable strongly dense matrices is strongly dense. Structural characterizations are presented for the idempotent nonnegative strongly dense matrices, as well as for the idempotent Boolean strongly dense matrices with a full diagonal. Connections with generalized complementary basic matrices are made.
Keywords
strongly dense matrixBoolean matrixnonnegative matrixidempotent matrixintrinsic productgeneralized complementary basic matrix
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
A Note on Strongly Dense Matrices
Original language description
In this note, strongly dense matrices are defined and some basic properties of these matrices are obtained. In particular, it is shown that for nonnegative and Boolean matrices, the product of conformable strongly dense matrices is strongly dense. Structural characterizations are presented for the idempotent nonnegative strongly dense matrices, as well as for the idempotent Boolean strongly dense matrices with a full diagonal. Connections with generalized complementary basic matrices are made.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Journal of Mathematics
ISSN
2199-675X
e-ISSN
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Volume of the periodical
1
Issue of the periodical within the volume
4
Country of publishing house
DE - GERMANY
Number of pages
10
Pages from-to
721-730
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-84958683971
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2015